Question

find the measure of angle ecg.

Explanation:

Step1: Identify right - angle property

We know that a right - angle measures 90°.

Step2: Analyze the given angle and the right - angle relationship

If one of the angles formed at the intersection is 23° and the angle we want to find (∠ECG) and the 23° angle are complementary (because they are part of a right - angle).
Let the measure of ∠ECG be \(x\). Then \(x + 23^{\circ}=90^{\circ}\).

Step3: Solve for the unknown angle

Subtract 23° from both sides of the equation: \(x=90^{\circ}- 23^{\circ}\).
\(x = 67^{\circ}\)

Answer:

\(67^{\circ}\)